EXOTIC STATES IN THE E-E JAHN-TELLER PROBLEM

The Fulton-Gouterman transformation is applied to the dynamical E-e Jahn-Teller problem. This approach leads to an unconventional way of visualizing the exact eigensolutions of the problem. It turns out that in the upper energy region, eigenfunctions with unexpected behavior make their appearance ("exotic states"). They practically have no distortion in the oscillatory subspace, whereas eigenfunctions of large radial oscillatory displacement are found in their immediate energetic neighborhood. In a rough way, these exotic states may be related to the "Slonczewski resonances."